展开 x/((x-1)^3)

解答

展开

\frac{x}{( x - 1 ) ^{3}}

\frac{x}{x ^{3} - 3 x ^{2} + 3 x - 1}

求解步骤

\frac{x}{( x - 1 ) ^{3}}

(x - 1)^{3} = x^{3} - 3 x^{2} + 3 x - 1

= \frac{x}{x ^{3} - 3 x ^{2} + 3 x - 1}

e x p an d - \frac{x ^{3} + 6 x ^{2} + 16 x - 32}{2 ( x + 4 ) ^{2} ( x ^{2} + 16 )}

e x p an d (y + Δ y)^{3}

s im pl i f y (6 x - 7) (9 x + 5)

s im pl i f y 2 (- \frac{1}{6} csc^{6} (\frac{x}{2}) + \frac{1}{4} csc^{4} (\frac{x}{2})) + C

e x p an d - \frac{2 ( - 3 x ^{2} + 2 )}{( x ^{2} + 2 ) ^{3}}